10 Questions
What is the domain of the function $f(x) = \log_2 x$?
Positive real numbers
What is the range of the function $f(x) = \log_5 x$?
All real numbers
What are the x-intercepts of the functions $f(x) = \log_3 x$ and $g(x) = \log_{10} x$?
(1, 0) and (1, 0)
What is the y-intercept of the function $f(x) = \log_7 x$?
There is no y-intercept
What is the vertical asymptote for the function $f(x) = \log_4 x$?
x = 0
What is the domain of the function $f(x) = rac{1}{2} imes ext{log}_2 x$?
All positive real numbers except 0
Which of the following is true about the function $f(x) = ext{log}_5 x$?
It is a decreasing function
What is the y-intercept of the function $f(x) = 1.5 imes ext{log}_3 x$?
There is no y-intercept
What is the vertical asymptote for the function $f(x) = ext{log}_{10} x$?
There is no vertical asymptote
Which of the following is true about the function $f(x) = ext{log}_2 x$?
It has a range of all real numbers
Explore the characteristics of logarithmic functions and compare the graphs of log base 2, log base 3, log base 5, and log base 10. Understand the domain, range, x-intercept, and y-intercept of logarithmic functions.
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